Question

Post-test about graphs need help

Answer 1

Answer:

O A.     $y=\frac{4}{3} x-\frac{1}{3}$

Step-by-step explanation:

To find the equation of the line, we need to know the slope and the y-intercept.

so, let's start by the slope. We need two points given in the graph.

(4, 5) and (-2, -3)

Then use the Slope-Formula to identify the Slope of the line.

m = slope

m = $\frac{y2-y1}{x2-x1}$          Slope Formula

m = $\frac{-3-5}{-2-4}$           subtract the second y from the first y / second x from first x

m = $\frac{-8}{-6}$               Turn the fraction to positive because two negatives = positi-

m = $\frac{8}{6}$                 Simplify

m = $\frac{4}{3}$                 Final Answer

The slope of the line is $\frac{4}{3}$ now what about the y-intercept?

The y-intercept is located at the y axis.

It determines how many units the graph goes up or down depending...

Well in this case, the y-intercept is negative because it is below on the yaxis

Then we must determine the y-intercept.

so we know is negative but it isn't exactly on a point so it is formed as a fra-

then we can determine it by seeing when it hits another unit (hard explainin)

y-intercept = -1/3

Final Answer: y = $\frac{4}{3} x-\frac{1}{3}$